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Finding the Fourth Proportional to 221.32, 304.50 and 214.84

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Solution

The fourth proportional to 221.32, 304.50 and 214.84 is: 295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.32 : 304.50 = 214.84 : x
  2. Step 2: Convert to fraction form
    221.32/304.50 = 214.84/x
  3. Step 3: Cross multiply
    221.32x = 304.50 × 214.84
  4. Step 4: Simplify right side
    221.32x = 65,418.78
  5. Step 5: Solve for x
    x = 65,418.78/221.32
  6. Step 6: Final answer
    x = 295.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.